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Finding the Third Proportional to 700.56 and 1,030.56

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Solution

The third proportional to 700.56 and 1,030.56 is: 1,516.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.56 : 1,030.56 = 1,030.56 : x
  2. Step 2: Convert to fraction form
    700.56/1,030.56 = 1,030.56/x
  3. Step 3: Cross multiply
    700.56x = 1,030.56 × 1,030.56
  4. Step 4: Simplify right side
    700.56x = 1,062,059.07
  5. Step 5: Solve for x
    x = 1,062,059.07/700.56
  6. Step 6: Final answer
    x = 1,516.01

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.